DLMF:4.23.E17 (Q1769): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: arcsecant function / rank
 
Normal rank
Property / Symbols used: arcsecant function / qualifier
 
Defining formula:

arcsec z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsec}\NVar{z}}}

\asec@@{\NVar{z}}
Property / Symbols used: arcsecant function / qualifier
 
xml-id: C4.S23.E8.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1qdec

Latest revision as of 18:31, 1 January 2020

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DLMF:4.23.E17
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    Statements

    arcsec z = 1 2 π - arccsc z . 𝑧 1 2 𝜋 𝑧 {\displaystyle{\displaystyle\operatorname{arcsec}z=\tfrac{1}{2}\pi-% \operatorname{arccsc}z.}}
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    DLMF:4.23.E17
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
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    arccsc z 𝑧 {\displaystyle{\displaystyle\operatorname{arccsc}\NVar{z}}}
    C4.S23.E7.m2acdec
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    arcsec z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsec}\NVar{z}}}
    C4.S23.E8.m2acdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1qdec
    0 references